Question

8.
If an isosceles right angled triangle has area 8cm , then find the length of its hypotenuse

Answer 1

Answer:

Area is always in the format of square unit. I think you've given a wrong question. Please correct it and I'll help you. But for now I am taking the area as 8cm².

Step-by-step explanation:

In an Isosceles triangle, both perpendicular and base are equal in length.

Area of the triangle is 1/2×b×h

Let perpendicular = h

Let base= b = h

ATQ

1/2×b×h=8cm²

or 1/2×b×b=8cm²

or y²=8×2=16cm²

or y=√16cm²

or y= 4cm

So perpendicular = base = 4cm

By Pythagoras theorem

4²+4² = √ 16 + 16 = √32 = 4√2 cm

Therefore, Required hypotenuse= 4√2cm

Hope it helps you. Bye bye, buddy!